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Finding the Fourth Proportional to 22,146.29, 33,223.71 and 7,157.45

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Solution

The fourth proportional to 22,146.29, 33,223.71 and 7,157.45 is: 10,737.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,146.29 : 33,223.71 = 7,157.45 : x
  2. Step 2: Convert to fraction form
    22,146.29/33,223.71 = 7,157.45/x
  3. Step 3: Cross multiply
    22,146.29x = 33,223.71 × 7,157.45
  4. Step 4: Simplify right side
    22,146.29x = 237,796,877.02
  5. Step 5: Solve for x
    x = 237,796,877.02/22,146.29
  6. Step 6: Final answer
    x = 10,737.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.